Respuesta :

Answer:

[tex]\sqrt{82}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (- 1, - 3)

d = [tex]\sqrt{(-1+2)^2+(-3-6)^2}[/tex]

  = [tex]\sqrt{1^2+(-9)^2}[/tex]

  = [tex]\sqrt{1+81}[/tex]

  = [tex]\sqrt{82}[/tex] ≈ 9.06 ( to 2 dec. places )

Answer:

9.06

Step-by-step explanation:

(-2,6) and (-1,-3)

Distance =√(x2−x1)^2+(y2−y1)^2

√(−1−(−2))^2+(−3−6)^2

√(1)^2+(−3−6)^2

√(1)^2+(−9)^2

√1+81=

√82 ≈9.055385138137417